On the Existence of Blow-up Phenomenon of Generalized (2+1) Dimensional Kaup—Kupershmidt Equation

Yeung Ling Hei

Abstract

In this paper,We study and prove the existence of blow-up solution of generalized (2+1) dimensional Kaup—Kupershmidt(KK) equation by direct construction of an exact blow-up solution . Since Sawada-Kotera equation and Kaup-Kupershmidt(K. Sawada, 1974) equation are only particular case of our generalized equation , we can also prove the existence of blowupsolution of Sawada-Kotera equation and Kaup-Kupershmidt (K. Sawada, 1974) equation by our construction of exactsolution.

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